Mid-point embedding of Hamiltonian systems and variational integrators
Dynamical Systems
2022-11-30 v1 Numerical Analysis
Numerical Analysis
Abstract
Following the discrete embedding formalism, we give a new derivation of the mid-point variational integrators as developed by J.M. Wendlandt and J.E. Marsden by defining an adapted order two discrete differential and integral calculus. This allows us to obtain a clearer correspondence between the discrete and continuous case. We also discuss the corresponding definition of a discrete Hamiltonian system. A complete comparaison with the results of J.M. Wendlandt and J.E. Marsden is provided.
Cite
@article{arxiv.2211.16144,
title = {Mid-point embedding of Hamiltonian systems and variational integrators},
author = {Jacky Cresson and Rouba Safi},
journal= {arXiv preprint arXiv:2211.16144},
year = {2022}
}